PhD, University of Cincinnati, 2024, Arts and Sciences: Mathematical Sciences
A cerebral or intracranial aneurysm, commonly referred to as a brain aneurysm, is a potentially life-threatening condition characterized by a bulge or ballooning in a blood vessel in the brain. This condition can affect individuals of any age and, if ruptured, can lead to hemorrhagic stroke, brain damage, and even death. The Brain Aneurysm Foundation reports that an estimated 6.8 million people in the United States have an unruptured brain aneurysm, with approximately 30,000 individuals experiencing a rupture each year. These ruptures have a high fatality rate, with 50% of cases being fatal and 66% of survivors experiencing lasting neurological impairments.
Despite the risks, routine screening for brain aneurysms in healthy individuals is uncommon, and aneurysms are often discovered incidentally. Once it is identified, the decision to treat an aneurysm involves significant caution due to the complexity and risks of brain surgery. Hence, a thorough understanding of blood flow in the aneurysm region is essential for developing effective treatment plans.
Current research has made strides in understanding aneurysm hemodynamics, mechanical modeling, and treatment devices like stents and coils. While these models offer insight, they often lack flexibility, focusing either on fixed, patient-specific geometries or oversimplified idealized structures that inadequately capture aneurysm dynamics. Recent computational advancements, including AI integration, have improved model accuracy and reduced simulation time, but inconsistencies across studies point to a need for more standardized frameworks.
My PhD research addressed these gaps by developing a novel mathematical model that combines anatomical accuracy with flexibility, allowing for varied geometric properties while maintaining structural accuracy. This model aims to predict blood flow dynamics more effectively, supporting personalized aneurysm treatment planning and potentially improving clinical out (open full item for complete abstract)
Committee: Benjamin Vaughan Ph.D. (Committee Chair); Stephan Pelikan Ph.D. (Committee Member); Deniz Bilman Ph.D. (Committee Member)
Subjects: Applied Mathematics